The theory of strong coupling superconductivity in disordered transition metal alloys

Wysokiński, K. I.; Kuzemsky, A. L.

doi:10.1007/bf00681267

Cited by 25 publications

(17 citation statements)

References 32 publications

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“…The work of Wysokinski and Kuzemski (1983) implicitly contains both of the effects discussed so far, albeit for a difFerent model. The retardation and enhancement of the Coulomb kernel, Eq.…”

Section: Generalizations Of Bcs and Eliashberg Theorymentioning

confidence: 99%

The Anderson-Mott transition

1994

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The interacting disordered electron problem is reviewed with emphasis on the quantum phase transitions that occur in a model system and on the field-theoretic methods used to describe them. An elementary discussion of conservation laws and diffusive dynamics is followed by a detai1ed derivation of the extended nonlinear sigma model, which serves as an effective field theory for the problem. A general scaling theory of metal-insulator and related transitions is developed, and explicit renormalization-group calculations for the various universality classes are reviewed and compared with experimental results. A discussion of pertinent physical ideas and phenomenological approaches to the metal-insulator transition not contained in the sigma-model approach is given, and phase-transition aspects of related problems, like disordered superconductors and the quantum Hall effect, are discussed. The review concludes with a list of open problems.

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Section: Generalizations Of Bcs and Eliashberg Theorymentioning

confidence: 99%

The Anderson-Mott transition

1994

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“…On experimental side it started with early work of Shalnikov [1], Buckel [2], and others, while theoretical ideas have been developed by Anderson [3], Abrikosov and Gorkov [4,5] and many others [6][7][8][9][10]. Nowadays the reaction of superconductors against the impurities intentionally introduced into them is the first indication of the non s-wave symmetry of the order parameter.…”

Section: Introductionmentioning

confidence: 99%

Off-Diagonal Nonmagnetic Disorder in s- and d-Wave Superconductors

Michalik

Wysokiński

2006

Acta Phys. Pol. A

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The previously developed approach to study off-diagonal disorder has been extended and applied to both s-and d-wave superconductors. The derived equations allow the self-consistent solution of the problem. For a special case of negative U centres embedded in non-superconducting host we have calculated their critical concentration for the appearance of superconductivity and found it equal to ≈ 0.4. For x > x cr the order parameter continuously increases to its maximal value at x = 1.

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“…It is important to emphasize that the BCS-Bogolyubov theory of superconductivity [12,41,42] was formulated on the basis of a trial Hamiltonian which consists of a quadratic form of creation and annihilation operators, including "anomalous" (off-diagonal) averages [13]. The strong-coupling BCS-Bogolyubov theory of superconductivity was formulated for the Hubbard model in the localized Wannier representation in [57,60,61]. Therefore, instead of the algebra of the operator of a normal state a iσ , a motivated an intensification of research in superconductivity, not only because applications are promising, but because they also represent a new state of matter that breaks certain fundamental symmetries.…”

Section: -15mentioning

confidence: 99%

Quasiaverages, symmetry breaking and irreducible Green functions method

Kuzemsky¹

2010

Condens. Matter Phys.

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The development and applications of the method of quasiaverages to quantum statistical physics and to quantum solid state theory and, in particular, to quantum theory of magnetism, were considered. It was shown that the role of symmetry (and the breaking of symmetries) in combination with the degeneracy of the system was reanalyzed and essentially clarified within the framework of the method of quasiaverages. The problem of finding the ferromagnetic, antiferromagnetic and superconducting "symmetry broken" solutions of the correlated lattice fermion models was discussed within the irreducible Green functions method. A unified scheme for the construction of generalized mean fields (elastic scattering corrections) and self-energy (inelastic scattering) in terms of the equations of motion and Dyson equation was generalized in order to include the "source fields". This approach complements previous studies of microscopic theory of antiferromagnetism and clarifies the concepts of Neel sublattices for localized and itinerant antiferromagnetism and "spin-aligning fields" of correlated lattice fermions. 05.30.Fk,

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The theory of strong coupling superconductivity in disordered transition metal alloys

Cited by 25 publications

References 32 publications

The Anderson-Mott transition

The Anderson-Mott transition

Off-Diagonal Nonmagnetic Disorder in s- and d-Wave Superconductors

Quasiaverages, symmetry breaking and irreducible Green functions method

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